76514382 has 144 divisors (see below), whose sum is σ = 212565600. Its totient is φ = 20575296.

The previous prime is 76514303. The next prime is 76514393. The reversal of 76514382 is 28341567.

Its product of digits (40320) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4500838 + ... + 4500854.

It is an arithmetic number, because the mean of its divisors is an integer number (1476150).

Almost surely, 2^76514382 is an apocalyptic number.

76514382 is the 4374-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76514382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106282800).

76514382 is an abundant number, since it is smaller than the sum of its proper divisors (136051218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76514382 is an frugal number, since it uses more digits than its factorization.

76514382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 76514382 is about 8747.2499678470. The cubic root of 76514382 is about 424.5358383507.

The spelling of 76514382 in words is "seventy-six million, five hundred fourteen thousand, three hundred eighty-two".